File Name : s-fig1.tif Caption : fig. 1s the top views of (a) mo-hn, (b) s-n, (c) s-hn and (d) s-hal stacked mos2/aln hetero-structures with lattice match model. File Name : s-fig2.tif Caption : fig. 2s the electronic band structures of (a) mo-n and (b) mo-hn stacked hetero-structures with hse06 and hse06-soc formations. File Name : s-fig3.tif Caption : fig. 3s the electronic band structures of (a) mo-hn, (b) s-n, (c) s-hn and (d) s-hal stacked mos2/aln hetero-structures with lattice match model. File Name : s-fig4.tif Caption : fig. 4s the electronic band structures of mos2/aln hetero-structures with hse06 and hse06-soc formations in mo-n stacking configurations for different lattice constants from a = 3.118å to a = 3.168å. File Name : s-fig5.tif Caption : fig. 5s the dependences of electronic band structures of mo-hal stacked mos2/aln hetero-structures on strains from a=3.118å to a=3.168å. File Name : s-fig6.tif Caption : fig. 6s the partial decomposed charge density of vb and cb of mo-n stacked mos2/aln hetero-structures with hse06 and hse06-soc formations. File Name : s-fig7.tif Caption : fig. 7s the partial orbitals of (a) al atoms with pbe formation and (b) s atoms with pbe formation.